Details

analyze1.9s (21.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

Compiler

Compiled 38 to 31 computations (18.4% saved)

sample38.0ms (0.4%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
2.0ms	20×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify288.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4971	55
1	4971	55

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 29.8b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
0.1b	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
2.4b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
28.4b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

rewrite86.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_9197`
15×	`add-exp-log_binary64_9211` `add-cbrt-cube_binary64_9209`
12×	`add-cube-cbrt_binary64_9208` `*-un-lft-identity_binary64_9176`
10×	`pow1_binary64_9234`
9×	`associate-r_binary64_9118` `associate-l_binary64_9119`
5×	`flip-+_binary64_9150` `flip3-+_binary64_9179`
4×	`associate-r/_binary64_9120` `prod-exp_binary64_9222` `cbrt-unprod_binary64_9206` `associate-l/_binary64_9121` `add-log-exp_binary64_9212`
3×	`unswap-sqr_binary64_9144` `associate-/r_binary64_9122` `pow-prod-down_binary64_9244` `-commutative_binary64_9109` `times-frac_binary64_9182`
2×	`associate-/r/_binary64_9124` `associate-/l/_binary64_9125` `div-exp_binary64_9224` `cbrt-undiv_binary64_9207`
1×	`distribute-rgt-in_binary64_9128` `clear-num_binary64_9175` `distribute-lft-in_binary64_9127` `associate-/l*_binary64_9123` `div-inv_binary64_9173` `frac-2neg_binary64_9187`

Counts

4 → 87

Calls

4 calls:

33.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))
18.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
15.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
8.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

series1.4s (15.3%)

Counts

4 → 12

Calls

4 calls:

914.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))
332.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
80.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
75.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4971	3150
1	4971	3150

prune251.0ms (2.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	7	100

Merged error: 0.4b

Counts

100 → 7

Compiler

Compiled 4872 to 3263 computations (33% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 y b) 4503599627370496/2737158995491925)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_9234` `add-exp-log_binary64_9211` `add-cbrt-cube_binary64_9209`
3×	`associate-r_binary64_9118` `prod-exp_binary64_9222` `cbrt-unprod_binary64_9206` `pow-prod-down_binary64_9244`
2×	`add-cube-cbrt_binary64_9208` `*-un-lft-identity_binary64_9176` `add-sqr-sqrt_binary64_9197`
1×	`add-log-exp_binary64_9212` `-commutative_binary64_9109` `associate-l*_binary64_9119`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 y b) 4503599627370496/2737158995491925)

series37.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

37.0ms

(*.f64 (*.f64 y b) 4503599627370496/2737158995491925)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4922	179
1	4922	179

prune31.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	21	7	28

Merged error: 0.4b

Counts

28 → 7

Compiler

Compiled 505 to 362 computations (28.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 y (.f64 b 4503599627370496/2737158995491925))
0.4b	(*.f64 b 4503599627370496/2737158995491925)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_9234` `add-exp-log_binary64_9211` `add-cbrt-cube_binary64_9209`
7×	`add-sqr-sqrt_binary64_9197`
6×	`associate-l_binary64_9119`
5×	`add-cube-cbrt_binary64_9208` `*-un-lft-identity_binary64_9176`
4×	`associate-r_binary64_9118` `prod-exp_binary64_9222` `cbrt-unprod_binary64_9206` `pow-prod-down_binary64_9244`
2×	`add-log-exp_binary64_9212` `*-commutative_binary64_9109`
1×	`unswap-sqr_binary64_9144`

Counts

2 → 36

Calls

2 calls:

5.0ms	(.f64 y (.f64 b 4503599627370496/2737158995491925))
4.0ms	(*.f64 b 4503599627370496/2737158995491925)

series57.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(.f64 y (.f64 b 4503599627370496/2737158995491925))
26.0ms	(*.f64 b 4503599627370496/2737158995491925)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4916	307
1	4916	307

prune44.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Merged error: 0.4b

Counts

49 → 7

Compiler

Compiled 629 to 452 computations (28.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_9204`
23×	`add-sqr-sqrt_binary64_9197`
15×	`add-cube-cbrt_binary64_9208` `*-un-lft-identity_binary64_9176`
11×	`pow1_binary64_9234`
9×	`pow1/3_binary64_9255`
6×	`associate-r_binary64_9118` `add-exp-log_binary64_9211` `swap-sqr_binary64_9143` `associate-l_binary64_9119`
4×	`unswap-sqr_binary64_9144` `add-log-exp_binary64_9212` `add-cbrt-cube_binary64_9209`
2×	`pow-prod-down_binary64_9244` `pow-sqr_binary64_9149` `pow-prod-up_binary64_9243`
1×	`pow2_binary64_9254` `prod-exp_binary64_9222` `cbrt-unprod_binary64_9206` `*-commutative_binary64_9109` `pow-plus_binary64_9236`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

series637.0ms (7%)

Counts

4 → 12

Calls

4 calls:

179.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
159.0ms	(cbrt.f64 b)
154.0ms	(cbrt.f64 b)
145.0ms	(cbrt.f64 b)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune75.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Merged error: 0.4b

Counts

92 → 7

Compiler

Compiled 1414 to 660 computations (53.3% saved)

regimes1.4s (15.7%)

Compiler: Compiled 10124 to 8494 computations (16.1% saved)

bsearch72.0ms (0.8%)

Steps

Iters	Range		Point
10	1263379.283615424	3.6751376782346157e+17	3.621558610810632e+17
4	-1.607447730831611e+73	-1.0957940388136173e+73	-1.1087524342046656e+73

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	91
1	70	91

end0.0ms (0%)

sample2.4s (26%)

Algorithm

1×

intervals

Results

703.0ms	8000×	body	128	valid
74.0ms	885×	body	128	invalid

Compiler

Compiled 1424 to 1177 computations (17.3% saved)

Details

analyze1.9s (21.2%)

sample38.0ms (0.4%)

simplify288.0ms (3.1%)

prune4.0ms (0%)

localize30.0ms (0.3%)

rewrite86.0ms (0.9%)

series1.4s (15.3%)

simplify91.0ms (1%)

prune251.0ms (2.7%)

localize5.0ms (0.1%)

rewrite6.0ms (0.1%)

series37.0ms (0.4%)

simplify58.0ms (0.6%)

prune31.0ms (0.3%)

localize6.0ms (0.1%)

rewrite11.0ms (0.1%)

series57.0ms (0.6%)

simplify66.0ms (0.7%)

prune44.0ms (0.5%)

localize10.0ms (0.1%)

rewrite16.0ms (0.2%)

series637.0ms (7%)

simplify71.0ms (0.8%)

prune75.0ms (0.8%)

regimes1.4s (15.7%)

bsearch72.0ms (0.8%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (26%)

Profiling